Harold uses an inclined plane to move a washing machine from the sidewalk into his house. The vertical distance from the sidewalk to the house is 0.8 meters. If the plane has a mechanical advantage of 2.3, how long is the plane?(1 point)

Question

Responses

3.1 m
3.1 m

0.35 m
0.35 m

1.84 m
1.84 m

1.5 m

Answer 1

To find the length of the inclined plane (which we'll denote as \( L \)), we can use the formula for mechanical advantage (MA) of an inclined plane:

\[ \text{MA} = \frac{\text{height}}{\text{length of the plane}} \]

In this case, the height (vertical distance) is 0.8 meters, and the mechanical advantage is given as 2.3. Rearranging the formula to solve for \( L \):

\[ L = \frac{\text{height}}{\text{MA}} \]

Substituting the known values into the equation:

\[ L = \frac{0.8 \text{ m}}{2.3} \]

Calculating this gives:

\[ L \approx 0.3478 \text{ m} \approx 0.35 \text{ m} \]

So the length of the inclined plane is approximately 0.35 m.